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Finding the Fourth Proportional to 279,655.74, 419,321.61 and 191,016.36

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Solution

The fourth proportional to 279,655.74, 419,321.61 and 191,016.36 is: 286,413.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,655.74 : 419,321.61 = 191,016.36 : x
  2. Step 2: Convert to fraction form
    279,655.74/419,321.61 = 191,016.36/x
  3. Step 3: Cross multiply
    279,655.74x = 419,321.61 × 191,016.36
  4. Step 4: Simplify right side
    279,655.74x = 80,097,287,611.54
  5. Step 5: Solve for x
    x = 80,097,287,611.54/279,655.74
  6. Step 6: Final answer
    x = 286,413.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.